Comment on "Ising model on a small world network"
Statistical Mechanics
2009-11-07 v1
Abstract
In the recent study of the Ising model on a small-world network by A. P\c{e}kalski [Phys. Rev. E {\bf 64}, 057104 (2001)], a surprisingly small value of the critical exponent has been obtained for the temperature dependence of the magnetization. We perform extensive Monte Carlo simulations of the same model and conclude, via the standard finite-size scaling of various quantities,that the phase transition in the model is of the mean-field nature, in contrast to the work by A. P\c{e}kalski but in accord with other existing studies.
Cite
@article{arxiv.cond-mat/0204357,
title = {Comment on "Ising model on a small world network"},
author = {H. Hong and Beom Jun Kim and M. Y. Choi},
journal= {arXiv preprint arXiv:cond-mat/0204357},
year = {2009}
}
Comments
to be published in PRE